Talk:Series acceleration
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Cohen, Rodriguez Villegas and Zagier method
editThere's a method (or rather, a collection of methods), due to Cohen, Rodriguez Villegas and Zagier, which beats the Euler-type methods by quite a way. I don't have the reference to hand, but can find it without too much difficulty. It's worth a mention, for its use with alternating series! Hair Commodore 13:59, 4 January 2007 (UTC)
Found it, at: Experiment. Math. 9, iss. 1 (2000), 3–12. Hair Commodore 14:15, 4 January 2007 (UTC)
- Villegas and Zagier are number theorists; is this a paper on series acceleration for special functions/hypergeometric series, or is it a numerical methods paper? linas 16:42, 4 January 2007 (UTC)
Merging to sequence transformations
editI am merging to sequence transformations. That is a more substantial article, and series acceleration is a special case. Loisel 06:06, 13 February 2007 (UTC)
Erroneous redirection of "Acceleration of convergence" to "Series acceleration"
editIn my opinion, it is misleading to redirect "Acceleration of convergence" to "Series acceleration". The reason is that there are many convergence acceleration issues that have nothing to do with series. Think of iteration sequences, of Romberg integration and, more generally, slowly converging sequences. Also, thinking not only of sequence numbers but of other objects like sequence of vectors, of matrices, of operators makes sense in the "Acceleration of convergence" context that is valid for objects living in spaces where you can talk about convergence.
Therefore, I propose to replace the redirection by a separate page for "Acceleration of convergence" and include links the present page. I remark that the latter was in large parts copied from an old version of "sequence transformation".
DerHannes (talk) 17:37, 7 May 2010 (UTC)
Conformal maps & series acceleration
editIs there any references to the connection between conformal maps & series acceleration? It would be interesting having some pointers in this direction. User: veducha 00:00, 20 Oct 2018 (BST)